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3 years ago

7

There are 18 cub scouts in troop 645. The number of scouts is 3 more than five times the number of adults leaders. Find the numb

er of aldilt leaders.

2 answers:

Margaret [11]3 years ago

7 0

There are 3 adult leaders.

My name is Ann [436]3 years ago

7 0

Answer:

Number of adult leaders in the troop are 3

Step-by-step explanation:

Number of cub scouts in troop 645 are = 18

As per statement given in the question "The number of scouts is 3 more than five times the number of adult leaders"

Number of scouts = 5(Number of adults) + 3

Here number of scouts = 18

Therefore, equation will become as

18 = 5(Number of adults) + 3

5(Number of adults) = 18 - 3

5(Number of adults) = 15

Number of adults = $\frac{15}{5}$

= 3

Therefore, number of adult leaders in the troop are 3.

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Assume the hold time of callers to a cable company is normally distributed with a mean of 5.5 minutes and a standard deviation o

Ierofanga [76]

Answer:

The percent of callers are 37.21 who are on hold.

Step-by-step explanation:

Given:

A normally distributed data.

Mean of the data, $\mu$ = 5.5 mins

Standard deviation, $\sigma$ = 0.4 mins

We have to find the callers percentage who are on hold between 5.4 and 5.8 mins.

Lets find z-score on each raw score.

⇒ $z_1=\frac{x_1-\mu}{\sigma}$ ...raw score, $x_1$ = $5.4$

⇒ Plugging the values.

⇒ $z_1=\frac{5.4-5.5}{0.4}$

⇒ $z_1=-0.25$

For raw score 5.5 the z score is.

⇒ $z_2=\frac{5.8-5.5}{0.4}$

⇒ $z_2=0.75$

Now we have to look upon the values from Z score table and arrange them in probability terms then convert it into percentages.

We have to work with P(5.4<z<5.8).

⇒ $P(5.4$

⇒ $P(-0.25$

⇒ $P(z$

⇒ $z(1.5)=0.7734$ and $z(-0.25)=0.4013$ .<em>..from z -score table.</em>

⇒ $0.7734-0.4013$

⇒ $0.3721$

To find the percentage we have to multiply with 100.

⇒ $0.3721\times 100$

⇒ $37.21$ %

The percent of callers who are on hold between 5.4 minutes to 5.8 minutes is 37.21

4 0

3 years ago

The shortest distance between two points is a straight line. Explain this statement in terms of the triangle inequality theorem

Firlakuza [10]

Answer:

the answer would be.......

Step-by-step explanation:

a straight line is the shorest distance because a triangle only has straight lines

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3 years ago

Which sign makes this number sentence true?

Karolina [17]

Answer:

its D

Step-by-step explanation:

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3 years ago

George has $15. He tries to buy a movie ticket ($9.00), a pretzel ($2.65), a drink ($1.35), and two veggie cups ($1.74 each) but

Ket [755]

Answer:

George doesn't have enough money because the total cost of what he wants to buy costs $16.48 and he has $15. This means he needs an extra $1.48 to be able to buy what he needs

Step-by-step explanation:

From the above question:

George has $15. He tries to buy a movie ticket ($9.00), a pretzel ($2.65), a drink ($1.35), and two veggie cups ($1.74 each) but he does not have enough money.

Look at the numerical expression George used: 15 −( 9 + 2.65 + 1.35 + 2(1.74) )

Use the order of operations to simplify this expression.

Using the order of operations we have:

=$ 15 - (9 + 2.65 + 1.35 + 2(1.74) )

= $15 -( 9 + 2.65 + 1.35 + 3.48 )

=$ 15 - (16.48)

= $-1.48

George doesn't have enough money because the total cost of what he wants to buy costs $16.48 and he has $15. This means he needs an extra $1.48 to be able to buy what he needs

6 0

3 years ago

Read 2 more answers

The points ????(0,0), ????(−4,1), ????(−3,5), and ????(1,4) are the vertices of parallelogram OABC Is this parallelogram a

gavmur [86]

Answer:

Yes, parallelogram OABC is a rectangle.

Step-by-step explanation:

The vertices of a parallelogram are O(0,0), A(-4,1), B(-3,5) and C(1,4).

A parallelogram is a rectangle if its any two adjacent sides are perpendicular to each other.

product of slopes of two perpendicular lines is -1.

Formula for slope is

$Slope=\dfrac{y_2-y_1}{x_2-x_1}$

Using the formula we get

$m_{OA}=\dfrac{1-0}{-4-0}=-\dfrac{1}{4}$

$m_{AB}=\dfrac{5-1}{-3-(-4)}=-\dfrac{4}{1}=4$

$m_{OA}\times m_{AB}=-\dfrac{1}{4}\times 4=-1$

It means OA is perpendicular to AB.

Since two adjacent sides are perpendicular, therefore the given parallelogram OABC is a rectangle.

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3 years ago